A Shift-Dependent Generalized Doubly Truncated (Interval) Information Measure and its Properties

Bilal Ahmad Bhat¹ , M.A.K. Baig²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.282-293, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.282293

Online published on Feb 28, 2019

Copyright © Bilal Ahmad Bhat, M.A.K. Baig . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In the present article, we develop a two parametric shift-dependent generalized interval information (uncertainty) measure. In this new measure, the length of the observed random variable is set as the weight function and hence it is also known as length-biased shift-dependent uncertainty measure. Some significant characterization results of this measure are focused. For the measure, several momentous properties are also explored. Finally, we present some upper and lower bounds of this particular measure.

Key-Words / Index Term :
Shift-dependent generalized entropy, Lifetime distributions, Shift-dependent generalized interval entropy, Characterization results

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